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Finding the Fourth Proportional to 6,801.78, 10,202.20 and 1,804.04

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Solution

The fourth proportional to 6,801.78, 10,202.20 and 1,804.04 is: 2,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.78 : 10,202.20 = 1,804.04 : x
  2. Step 2: Convert to fraction form
    6,801.78/10,202.20 = 1,804.04/x
  3. Step 3: Cross multiply
    6,801.78x = 10,202.20 × 1,804.04
  4. Step 4: Simplify right side
    6,801.78x = 18,405,217.01
  5. Step 5: Solve for x
    x = 18,405,217.01/6,801.78
  6. Step 6: Final answer
    x = 2,705.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.